Sam read `15(1)/(3)` pages of a novel on Sarturday and `17(7)/(12)` pages on Sunday.
Find the total number of pages that he read on Saturday and Sunday.

Answer

To find the total number of pages Sam read on Saturday and Sunday, we will follow these steps:

### Step 1: Convert Mixed Numbers to Improper Fractions
First, we need to convert the mixed numbers into improper fractions.

**Saturday:**
Sam read \( 15 \frac{1}{3} \) pages.
- To convert this to an improper fraction:
\[ 15 \frac{1}{3} = \frac{15 \times 3 + 1}{3} = \frac{45 + 1}{3} = \frac{46}{3} \]

**Sunday:**
Sam read \( 17 \frac{7}{12} \) pages.
- To convert this to an improper fraction:
\[ 17 \frac{7}{12} = \frac{17 \times 12 + 7}{12} = \frac{204 + 7}{12} = \frac{211}{12} \]

### Step 2: Find the Least Common Multiple (LCM)
Next, we need to find the LCM of the denominators (3 and 12) to add the fractions.

- The multiples of 3 are: 3, 6, 9, 12, 15, ...
- The multiples of 12 are: 12, 24, 36, ...

The LCM of 3 and 12 is 12.

### Step 3: Convert Fractions to Have the Same Denominator
Now we will convert both fractions to have a common denominator of 12.

**Convert \( \frac{46}{3} \) to a denominator of 12:**
\[ \frac{46}{3} = \frac{46 \times 4}{3 \times 4} = \frac{184}{12} \]

**The fraction for Sunday remains the same:**
\[ \frac{211}{12} \]

### Step 4: Add the Fractions
Now we can add the two fractions:
\[ \frac{184}{12} + \frac{211}{12} = \frac{184 + 211}{12} = \frac{395}{12} \]

### Step 5: Convert the Improper Fraction to a Mixed Number
Finally, we convert \( \frac{395}{12} \) back to a mixed number.

- Divide 395 by 12:
- \( 12 \times 3 = 36 \) (remainder 3)
- Bring down the next digit (5): \( 12 \times 2 = 24 \) (remainder 11)

Thus, we have:
\[ \frac{395}{12} = 32 \frac{11}{12} \]

### Final Answer:
The total number of pages Sam read on Saturday and Sunday is \( 32 \frac{11}{12} \).

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